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Finding the Fourth Proportional to 25.95, 35.84 and 21.89

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Solution

The fourth proportional to 25.95, 35.84 and 21.89 is: 30.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.95 : 35.84 = 21.89 : x
  2. Step 2: Convert to fraction form
    25.95/35.84 = 21.89/x
  3. Step 3: Cross multiply
    25.95x = 35.84 × 21.89
  4. Step 4: Simplify right side
    25.95x = 784.25
  5. Step 5: Solve for x
    x = 784.25/25.95
  6. Step 6: Final answer
    x = 30.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.